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101134334004 = 223112315933083
BaseRepresentation
bin101111000110000010…
…0110111100000110100
3100200001020002110222020
41132030010313200310
53124110342142004
6114243243433140
710210126440504
oct1361404674064
9320036073866
10101134334004
1139988771020
12177258257b0
1396c9821cb2
144c75979a04
15296db038d9
hex178c137834

101134334004 has 48 divisors (see below), whose sum is σ = 257451747840. Its totient is φ = 30644518240.

The previous prime is 101134333999. The next prime is 101134334017. The reversal of 101134334004 is 400433431101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3040447 + ... + 3073529.

It is an arithmetic number, because the mean of its divisors is an integer number (5363578080).

Almost surely, 2101134334004 is an apocalyptic number.

It is an amenable number.

101134334004 is an abundant number, since it is smaller than the sum of its proper divisors (156317413836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101134334004 is a wasteful number, since it uses less digits than its factorization.

101134334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56260 (or 56258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101134334004 its reverse (400433431101), we get a palindrome (501567765105).

The spelling of 101134334004 in words is "one hundred one billion, one hundred thirty-four million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 23159 33083 46318 66166 69477 92636 99249 132332 138954 198498 254749 277908 363913 396996 509498 727826 764247 1018996 1091739 1455652 1528494 2183478 3056988 4366956 766169197 1532338394 2298507591 3064676788 4597015182 8427861167 9194030364 16855722334 25283583501 33711444668 50567167002 101134334004